2005033 has 2 divisors, whose sum is σ = 2005034. Its totient is φ = 2005032.

The previous prime is 2005027. The next prime is 2005037. The reversal of 2005033 is 3305002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1996569 + 8464 = 1413^2 + 92^2 .

It is a cyclic number.

It is not a de Polignac number, because 2005033 - 2⁵ = 2005001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2005037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1002516 + 1002517.

It is an arithmetic number, because the mean of its divisors is an integer number (1002517).

2^2005033 is an apocalyptic number.

It is an amenable number.

2005033 is a deficient number, since it is larger than the sum of its proper divisors (1).

2005033 is an equidigital number, since it uses as much as digits as its factorization.

2005033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 2005033 is about 1415.9918785078. The cubic root of 2005033 is about 126.0977028374.

The spelling of 2005033 in words is "two million, five thousand, thirty-three".